There are extensive studies on the allocation problems in the field of insurance and finance. We observe that these studies, although involving different methodologies, share some inherent commonalities. In this paper, we develop a new framework for these studies with the tool of arrangement...

The 2011 Clean Energy Act sought to align Australia’s carbon pricing to the 2005 European Union Emission Trading Scheme (EU-ETS) by 2015, but this act was repealed in 2014. We estimate the hypothetical impact of Australia adopting an emissions trading policy in 2005, which corresponds with the...

Global mean surface temperature has been increasing in response to growing greenhouse gas concentrations (IPCC, 2021). While Earth is getting warmer overall, regions that differ in local geographical features experience unequal increases in temperature. In this paper, we develop a dynamic...

In this paper, we establish several stochastic orders between Gini indexes of multivariate elliptical risks with the same marginals but different dependence structures. This work is motivated by the studies of Brazauskas et al (2007) and Samanthi et al (2015), who employed the Gini index to...

A nonparametric test based on nested L-statistics and designed to compare the riskiness of portfolios was introduced by Brazauskas, Jones, Puri, and Zitikis (2007). Its asymptotic and small-sample properties were primarily explored for independent portfolios, though independence is not a...